Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/529,516/681,688/401
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 83,516,688
Greatest Common Factor of Numerators i.e. GCF of 83,516,688 is 1 .
LCM of Denominators means LCM of 529,681,401 as per the given fractions.
LCM of 529,681,401 is 144459849 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,516,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 83,516,688 . The biggest common factor number is the GCF number.
So the greatest common factor 83,516,688 is 1.
Lets's calculate LCM of 529,681,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 144459849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144459849
Therefore, the GCF of Fractions 83/529,516/681,688/401 is 1/144459849
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 529,681,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,681,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,681,401) x common factors =1 x 1 = 1
LCM(529,681,401) = ( 529 × 681 × 401 ) / 1
LCM(529,681,401) = 144459849 / 1
LCM(529,681,401) = 144459849
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 83/529, 516/681, 688/401?
Answer: GCF of Numerators as per given numbers 83/529, 516/681, 688/401 is
GCF of Numerators i.e. for 83,516,688 is 1
LCM of denominators i.e. for 529,681,401 is 144459849.
Thus, GCF of Fractions is 1/144459849.Finally, GCF of Fractions for 83/529, 516/681, 688/401 is 1/144459849.